What is laplacetransform 5*t ?

The answer to laplacetransform 5*t is 5/(s^2)

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laplacetransform 5*t

laplace transform

5 \cdot t

\frac{5}{s ^{2}}

Solution steps

L {5 t}

Use the constant multiplication property of Laplace Transform:

For function

f (t)

and constant

a : L {a \cdot f (t)} = a \cdot L {f (t)}

= 5 L {t}

L {t} : \frac{1}{s ^{2}}

= 5 \cdot \frac{1}{s ^{2}}

Refine

5 \frac{1}{s ^{2}} : \frac{5}{s ^{2}}

= \frac{5}{s ^{2}}

\int \frac{1}{x ^{2} x ^{2} + 25} d x

\frac{\partial}{\partial y} (\frac{x}{y})

\frac{4083}{1 + 6.22 e ^{- 0.32 x}}

f (x) = \frac{4}{3} π r^{3}

\int 24 x^{2} (6 - 5 x^{3})^{7} d x